Dutta, Hemen; Surender Reddy, B. On Banach algebras of some matrix classes. (English) Zbl 1291.40008 Atl. Electron. J. Math. 4, No. 1, 49-55 (2011). Summary: We characterize some matrix classes involving some difference sequence spaces and the spaces \(c\) and \(l_{\infty}\). We show that these matrix classes can be made Banach algebras and prove that these matrix classes are semisimple. Further we investigate the topologically and algebraically equivalent spaces. This article also introduces the concept of application of generalized difference operator to infinite matrices. These investigations generalize several notions associated with matrix transformations. MSC: 40C05 Matrix methods for summability 39A70 Difference operators 40A05 Convergence and divergence of series and sequences 46H05 General theory of topological algebras PDFBibTeX XMLCite \textit{H. Dutta} and \textit{B. Surender Reddy}, Atl. Electron. J. Math. 4, No. 1, 49--55 (2011; Zbl 1291.40008)